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GCF of 9219/282, 9787/1084

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9219/282, 9787/1084 i.e 1/152844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9219/282, 9787/1084.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9219/282,9787/1084?

Given fractions are 9219/282,9787/1084

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9219/282,9787/1084, numerators are 9219,9787

Denominators are 282,1084

The GCF of 9219,9787 is 1 .

LCM of 282,1084 is 152844.

The greatest common factor of 9219/282,9787/1084 = [GCF of 9219,9787]/[LCM of 282,1084]= 1/152844

Therefore, the GCF of 9219/282,9787/1084 is 1/152844.

Greatest Common Factor of 9219,9787

To find the highest common factor of 9219,9787, we have to find the factors of both numbers and list the highest common factor.

The factors of 9219 are 1, 3, 7, 21, 439, 1317, 3073, 9219

The factors of 9787 are 1, 9787

The HCF of 9219,9787 is 1.

Lets's calculate GCF of 9219,9787

Greatest Common Factor (GCF) of 9219,9787 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9219,9787 By Matching Biggest Common Factor Method

Greatest Common Factor of 9219,9787 By Matching Biggest Common Factor Method

Now, list down the factors of 9219

:

1,3,7,21,439,1317,3073,9219

Now, list down the factors of 9787

:

1,9787

Greatest Common Factor

We found the factors 9219,9787 . The biggest common factor number is the GCF number.
So the greatest common factor 9219,9787 is 1.

Lets's calculate LCM of 282,1084

Lowest Common Multiple of 282,1084 using Common Division

2 282, 1084
141, 542

∴ So the LCM of the given numbers is 2 x 141 x 542 = 152844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152844

Therefore, the GCF of Fractions 9219/282,9787/1084 is 1/152844

Least Common Multiple of 282,1084 with GCF Formula

Least Common Multiple of 282,1084 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 282,1084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,1084) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(282,1084) x common factors =2 x 1 = 2

LCM(282,1084) = ( 282 × 1084 ) / 2

LCM(282,1084) = 305688 / 2

LCM(282,1084) = 152844


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FAQs on GCF of Fractions of 9219/282, 9787/1084

1. What is the HCF of 9219,9787?

The HCF of 9219,9787 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9219/282, 9787/1084?

Answer: GCF of Numerators as per given numbers 9219/282, 9787/1084 is

GCF of Numerators i.e. for 9219,9787 is 1

LCM of denominators i.e. for 282,1084 is 152844.

Thus, GCF of Fractions is 1/152844.Finally, GCF of Fractions for 9219/282, 9787/1084 is 1/152844.